Abstract: The equation of motion of a small spherical rigid particle in a turbulent flow field, including the Stokes drag, the Basset force, and the virtual mass effects, is considered. For an isotropic ...

Abstract: Nonstationary random vibration of a Duffing oscillator is considered. The method of Wiener-Hermite series expansion of an arbitrary random function is reviewed and applied to the analysis of the ...

Abstract: We employ the continuum theory of granular materials due to Goodman and Cowin and some experimental results due to P. G. Nutting to arrive at a functional from for the free energy of granular ...

Abstract: Wide thrust bearings operating in turbulent inertial flow regimes are studied. Isothermal and thermohydrodynamic performances of the bearing are analyzed. Integro-differential equations of motion, ...

Abstract: The Wiener-Hermite functional series expansion method is used to analyze the nonstationary response of a Duffing oscillator under random excitations. The formal procedure for the derivation of ...

Abstract: Approximate sufficiency conditions for almost sure stability of the equilibrium state of some second-order linear systems with stationary-Gaussian random coefficients are obtained in analytical form.

Abstract: A linear Langevin equation for the velocity of a Brownian particle is considered. The equation of motion is solved and the Karhunen-Loeve expansion for the particle velocity is derived. The ...

Abstract: Dynamic stability of a Kelvin‐viscoelastic column subjected to a time varying axial load is considered. Deterministic loads with sinusoidal time variation is studied which reduces to a Mathieu equation. Special attention ...